Finding the Third Proportional to 263,646 and 564,660
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Solution
The third proportional to 263,646 and 564,660 is: 1,209,352.37
Step by Step Solution
- Step 1: Write the proportion equation
263,646 : 564,660 = 564,660 : x - Step 2: Convert to fraction form
263,646/564,660 = 564,660/x - Step 3: Cross multiply
263,646x = 564,660 × 564,660 - Step 4: Simplify right side
263,646x = 318,840,915,600 - Step 5: Solve for x
x = 318,840,915,600/263,646 - Step 6: Final answer
x = 1,209,352.37
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.